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249106325 = 52131315851
BaseRepresentation
bin11101101100100…
…00111110010101
3122100201220122012
432312100332111
51002232400300
640415114005
76113240336
oct1666207625
9570656565
10249106325
111186832a6
126b512905
133c7bb9c0
142512628d
1516d09435
hexed90f95

249106325 has 24 divisors (see below), whose sum is σ = 335249376. Its totient is φ = 182520000.

The previous prime is 249106313. The next prime is 249106331. The reversal of 249106325 is 523601942.

It is a happy number.

It is not a de Polignac number, because 249106325 - 212 = 249102229 is a prime.

It is a super-2 number, since 2×2491063252 = 124107922310011250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249106291 and 249106300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39650 + ... + 45500.

It is an arithmetic number, because the mean of its divisors is an integer number (13968724).

Almost surely, 2249106325 is an apocalyptic number.

249106325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

249106325 is a deficient number, since it is larger than the sum of its proper divisors (86143051).

249106325 is a wasteful number, since it uses less digits than its factorization.

249106325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 249106325 is about 15783.1025150317. The cubic root of 249106325 is about 629.2089887665.

The spelling of 249106325 in words is "two hundred forty-nine million, one hundred six thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 131 325 655 1703 3275 5851 8515 29255 42575 76063 146275 380315 766481 1901575 3832405 9964253 19162025 49821265 249106325